Frequency synchronization of a high-order multi-converter system

Taouba Jouini, Zhiyong Sun

Research output: Contribution to journalArticlepeer-review


We investigate the stability properties of a multi-converter power system model, defined on a high-order manifold. For this, we identify its symmetry (i.e., rotational invariance) generated by a static angle shift and rotation of AC signals. We characterize the steady state set, primarily determined by the steady state angles and DC power input. Based on eigenvalue conditions of its Jacobian matrix, we show asymptotic stability of the multi-converter system in a neighborhood of the synchronous steady state set by applying the center manifold theory. We guarantee the eigenvalue conditions via an explicit approach. Finally, we demonstrate our results based on a numerical example involving a network of identical DC/AC converter systems.
Original languageEnglish
Number of pages12
JournalIEEE Transactions on Control of Network Systems
Publication statusAccepted/In press - 2021

Subject classification (UKÄ)

  • Control Engineering


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